Newspace parameters
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.i (of order \(4\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 47.7 | ||
Character | \(\chi\) | \(=\) | 690.47 |
Dual form | 690.2.i.f.323.7 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | + | 0.707107i | −0.500000 | + | 0.500000i | ||||
\(3\) | 1.12660 | − | 1.31559i | 0.650440 | − | 0.759557i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | −0.192443 | + | 2.22777i | −0.0860629 | + | 0.996290i | ||||
\(6\) | 0.133641 | + | 1.72689i | 0.0545587 | + | 0.704999i | ||||
\(7\) | 1.96010 | + | 1.96010i | 0.740849 | + | 0.740849i | 0.972741 | − | 0.231893i | \(-0.0744918\pi\) |
−0.231893 | + | 0.972741i | \(0.574492\pi\) | |||||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | −0.461565 | − | 2.96428i | −0.153855 | − | 0.988093i | ||||
\(10\) | −1.43919 | − | 1.71135i | −0.455113 | − | 0.541176i | ||||
\(11\) | 2.97195i | 0.896078i | 0.894014 | + | 0.448039i | \(0.147877\pi\) | ||||
−0.894014 | + | 0.448039i | \(0.852123\pi\) | |||||||
\(12\) | −1.31559 | − | 1.12660i | −0.379779 | − | 0.325220i | ||||
\(13\) | −1.33263 | + | 1.33263i | −0.369605 | + | 0.369605i | −0.867333 | − | 0.497728i | \(-0.834168\pi\) |
0.497728 | + | 0.867333i | \(0.334168\pi\) | |||||||
\(14\) | −2.77200 | −0.740849 | ||||||||
\(15\) | 2.71403 | + | 2.76297i | 0.700761 | + | 0.713397i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 0.217329 | − | 0.217329i | 0.0527100 | − | 0.0527100i | −0.680260 | − | 0.732970i | \(-0.738133\pi\) |
0.732970 | + | 0.680260i | \(0.238133\pi\) | |||||||
\(18\) | 2.42244 | + | 1.76969i | 0.570974 | + | 0.417119i | ||||
\(19\) | 6.42606i | 1.47424i | 0.675762 | + | 0.737120i | \(0.263815\pi\) | ||||
−0.675762 | + | 0.737120i | \(0.736185\pi\) | |||||||
\(20\) | 2.22777 | + | 0.192443i | 0.498145 | + | 0.0430315i | ||||
\(21\) | 4.78694 | − | 0.370453i | 1.04459 | − | 0.0808394i | ||||
\(22\) | −2.10149 | − | 2.10149i | −0.448039 | − | 0.448039i | ||||
\(23\) | −0.707107 | − | 0.707107i | −0.147442 | − | 0.147442i | ||||
\(24\) | 1.72689 | − | 0.133641i | 0.352499 | − | 0.0272793i | ||||
\(25\) | −4.92593 | − | 0.857436i | −0.985186 | − | 0.171487i | ||||
\(26\) | − | 1.88462i | − | 0.369605i | ||||||
\(27\) | −4.41978 | − | 2.73231i | −0.850587 | − | 0.525834i | ||||
\(28\) | 1.96010 | − | 1.96010i | 0.370424 | − | 0.370424i | ||||
\(29\) | −1.22002 | −0.226552 | −0.113276 | − | 0.993564i | \(-0.536134\pi\) | ||||
−0.113276 | + | 0.993564i | \(0.536134\pi\) | |||||||
\(30\) | −3.87283 | − | 0.0346053i | −0.707079 | − | 0.00631804i | ||||
\(31\) | 6.33502 | 1.13780 | 0.568902 | − | 0.822405i | \(-0.307368\pi\) | ||||
0.568902 | + | 0.822405i | \(0.307368\pi\) | |||||||
\(32\) | 0.707107 | − | 0.707107i | 0.125000 | − | 0.125000i | ||||
\(33\) | 3.90988 | + | 3.34819i | 0.680623 | + | 0.582845i | ||||
\(34\) | 0.307349i | 0.0527100i | ||||||||
\(35\) | −4.74387 | + | 3.98945i | −0.801860 | + | 0.674340i | ||||
\(36\) | −2.96428 | + | 0.461565i | −0.494047 | + | 0.0769276i | ||||
\(37\) | 1.43305 | + | 1.43305i | 0.235592 | + | 0.235592i | 0.815022 | − | 0.579430i | \(-0.196725\pi\) |
−0.579430 | + | 0.815022i | \(0.696725\pi\) | |||||||
\(38\) | −4.54391 | − | 4.54391i | −0.737120 | − | 0.737120i | ||||
\(39\) | 0.251863 | + | 3.25453i | 0.0403303 | + | 0.521142i | ||||
\(40\) | −1.71135 | + | 1.43919i | −0.270588 | + | 0.227557i | ||||
\(41\) | − | 3.04579i | − | 0.475672i | −0.971305 | − | 0.237836i | \(-0.923562\pi\) | ||
0.971305 | − | 0.237836i | \(-0.0764380\pi\) | |||||||
\(42\) | −3.12292 | + | 3.64682i | −0.481878 | + | 0.562717i | ||||
\(43\) | −1.80190 | + | 1.80190i | −0.274786 | + | 0.274786i | −0.831024 | − | 0.556237i | \(-0.812245\pi\) |
0.556237 | + | 0.831024i | \(0.312245\pi\) | |||||||
\(44\) | 2.97195 | 0.448039 | ||||||||
\(45\) | 6.69256 | − | 0.457809i | 0.997669 | − | 0.0682461i | ||||
\(46\) | 1.00000 | 0.147442 | ||||||||
\(47\) | 0.199419 | − | 0.199419i | 0.0290883 | − | 0.0290883i | −0.692413 | − | 0.721501i | \(-0.743452\pi\) |
0.721501 | + | 0.692413i | \(0.243452\pi\) | |||||||
\(48\) | −1.12660 | + | 1.31559i | −0.162610 | + | 0.189889i | ||||
\(49\) | 0.683996i | 0.0977137i | ||||||||
\(50\) | 4.08946 | − | 2.87686i | 0.578337 | − | 0.406850i | ||||
\(51\) | −0.0410744 | − | 0.530758i | −0.00575157 | − | 0.0743210i | ||||
\(52\) | 1.33263 | + | 1.33263i | 0.184803 | + | 0.184803i | ||||
\(53\) | 9.17886 | + | 9.17886i | 1.26081 | + | 1.26081i | 0.950699 | + | 0.310114i | \(0.100367\pi\) |
0.310114 | + | 0.950699i | \(0.399633\pi\) | |||||||
\(54\) | 5.05729 | − | 1.19322i | 0.688211 | − | 0.162377i | ||||
\(55\) | −6.62083 | − | 0.571930i | −0.892753 | − | 0.0771191i | ||||
\(56\) | 2.77200i | 0.370424i | ||||||||
\(57\) | 8.45408 | + | 7.23957i | 1.11977 | + | 0.958905i | ||||
\(58\) | 0.862686 | − | 0.862686i | 0.113276 | − | 0.113276i | ||||
\(59\) | 9.43000 | 1.22768 | 0.613841 | − | 0.789430i | \(-0.289624\pi\) | ||||
0.613841 | + | 0.789430i | \(0.289624\pi\) | |||||||
\(60\) | 2.76297 | − | 2.71403i | 0.356698 | − | 0.350380i | ||||
\(61\) | 5.57225 | 0.713454 | 0.356727 | − | 0.934209i | \(-0.383893\pi\) | ||||
0.356727 | + | 0.934209i | \(0.383893\pi\) | |||||||
\(62\) | −4.47954 | + | 4.47954i | −0.568902 | + | 0.568902i | ||||
\(63\) | 4.90558 | − | 6.71501i | 0.618044 | − | 0.846011i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −2.71234 | − | 3.22525i | −0.336425 | − | 0.400043i | ||||
\(66\) | −5.13223 | + | 0.397175i | −0.631734 | + | 0.0488888i | ||||
\(67\) | 9.41060 | + | 9.41060i | 1.14969 | + | 1.14969i | 0.986614 | + | 0.163074i | \(0.0521410\pi\) |
0.163074 | + | 0.986614i | \(0.447859\pi\) | |||||||
\(68\) | −0.217329 | − | 0.217329i | −0.0263550 | − | 0.0263550i | ||||
\(69\) | −1.72689 | + | 0.133641i | −0.207893 | + | 0.0160885i | ||||
\(70\) | 0.533451 | − | 6.17539i | 0.0637596 | − | 0.738100i | ||||
\(71\) | − | 7.64983i | − | 0.907868i | −0.891035 | − | 0.453934i | \(-0.850020\pi\) | ||
0.891035 | − | 0.453934i | \(-0.149980\pi\) | |||||||
\(72\) | 1.76969 | − | 2.42244i | 0.208560 | − | 0.285487i | ||||
\(73\) | −4.05708 | + | 4.05708i | −0.474845 | + | 0.474845i | −0.903479 | − | 0.428633i | \(-0.858995\pi\) |
0.428633 | + | 0.903479i | \(0.358995\pi\) | |||||||
\(74\) | −2.02664 | −0.235592 | ||||||||
\(75\) | −6.67757 | + | 5.51453i | −0.771059 | + | 0.636763i | ||||
\(76\) | 6.42606 | 0.737120 | ||||||||
\(77\) | −5.82533 | + | 5.82533i | −0.663858 | + | 0.663858i | ||||
\(78\) | −2.47940 | − | 2.12321i | −0.280736 | − | 0.240406i | ||||
\(79\) | − | 14.4298i | − | 1.62348i | −0.584018 | − | 0.811741i | \(-0.698520\pi\) | ||
0.584018 | − | 0.811741i | \(-0.301480\pi\) | |||||||
\(80\) | 0.192443 | − | 2.22777i | 0.0215157 | − | 0.249072i | ||||
\(81\) | −8.57391 | + | 2.73642i | −0.952657 | + | 0.304047i | ||||
\(82\) | 2.15370 | + | 2.15370i | 0.237836 | + | 0.237836i | ||||
\(83\) | −12.1736 | − | 12.1736i | −1.33622 | − | 1.33622i | −0.899688 | − | 0.436533i | \(-0.856206\pi\) |
−0.436533 | − | 0.899688i | \(-0.643794\pi\) | |||||||
\(84\) | −0.370453 | − | 4.78694i | −0.0404197 | − | 0.522297i | ||||
\(85\) | 0.442336 | + | 0.525982i | 0.0479780 | + | 0.0570508i | ||||
\(86\) | − | 2.54827i | − | 0.274786i | ||||||
\(87\) | −1.37447 | + | 1.60505i | −0.147359 | + | 0.172080i | ||||
\(88\) | −2.10149 | + | 2.10149i | −0.224019 | + | 0.224019i | ||||
\(89\) | −2.45643 | −0.260381 | −0.130191 | − | 0.991489i | \(-0.541559\pi\) | ||||
−0.130191 | + | 0.991489i | \(0.541559\pi\) | |||||||
\(90\) | −4.40864 | + | 5.05608i | −0.464711 | + | 0.532957i | ||||
\(91\) | −5.22418 | −0.547643 | ||||||||
\(92\) | −0.707107 | + | 0.707107i | −0.0737210 | + | 0.0737210i | ||||
\(93\) | 7.13701 | − | 8.33431i | 0.740073 | − | 0.864227i | ||||
\(94\) | 0.282021i | 0.0290883i | ||||||||
\(95\) | −14.3158 | − | 1.23665i | −1.46877 | − | 0.126877i | ||||
\(96\) | −0.133641 | − | 1.72689i | −0.0136397 | − | 0.176250i | ||||
\(97\) | 8.98748 | + | 8.98748i | 0.912541 | + | 0.912541i | 0.996472 | − | 0.0839309i | \(-0.0267475\pi\) |
−0.0839309 | + | 0.996472i | \(0.526748\pi\) | |||||||
\(98\) | −0.483658 | − | 0.483658i | −0.0488568 | − | 0.0488568i | ||||
\(99\) | 8.80970 | − | 1.37175i | 0.885409 | − | 0.137866i | ||||
\(100\) | −0.857436 | + | 4.92593i | −0.0857436 | + | 0.492593i | ||||
\(101\) | − | 3.00976i | − | 0.299482i | −0.988725 | − | 0.149741i | \(-0.952156\pi\) | ||
0.988725 | − | 0.149741i | \(-0.0478440\pi\) | |||||||
\(102\) | 0.404346 | + | 0.346258i | 0.0400363 | + | 0.0342847i | ||||
\(103\) | −1.81831 | + | 1.81831i | −0.179163 | + | 0.179163i | −0.790991 | − | 0.611828i | \(-0.790435\pi\) |
0.611828 | + | 0.790991i | \(0.290435\pi\) | |||||||
\(104\) | −1.88462 | −0.184803 | ||||||||
\(105\) | −0.0959261 | + | 10.7355i | −0.00936143 | + | 1.04768i | ||||
\(106\) | −12.9809 | −1.26081 | ||||||||
\(107\) | −10.1552 | + | 10.1552i | −0.981744 | + | 0.981744i | −0.999836 | − | 0.0180921i | \(-0.994241\pi\) |
0.0180921 | + | 0.999836i | \(0.494241\pi\) | |||||||
\(108\) | −2.73231 | + | 4.41978i | −0.262917 | + | 0.425294i | ||||
\(109\) | − | 3.22282i | − | 0.308690i | −0.988017 | − | 0.154345i | \(-0.950673\pi\) | ||
0.988017 | − | 0.154345i | \(-0.0493268\pi\) | |||||||
\(110\) | 5.08605 | − | 4.27722i | 0.484936 | − | 0.407817i | ||||
\(111\) | 3.49978 | − | 0.270842i | 0.332184 | − | 0.0257072i | ||||
\(112\) | −1.96010 | − | 1.96010i | −0.185212 | − | 0.185212i | ||||
\(113\) | −3.72990 | − | 3.72990i | −0.350880 | − | 0.350880i | 0.509557 | − | 0.860437i | \(-0.329809\pi\) |
−0.860437 | + | 0.509557i | \(0.829809\pi\) | |||||||
\(114\) | −11.0971 | + | 0.858785i | −1.03934 | + | 0.0804326i | ||||
\(115\) | 1.71135 | − | 1.43919i | 0.159584 | − | 0.134206i | ||||
\(116\) | 1.22002i | 0.113276i | ||||||||
\(117\) | 4.56539 | + | 3.33519i | 0.422070 | + | 0.308339i | ||||
\(118\) | −6.66802 | + | 6.66802i | −0.613841 | + | 0.613841i | ||||
\(119\) | 0.851973 | 0.0781003 | ||||||||
\(120\) | −0.0346053 | + | 3.87283i | −0.00315902 | + | 0.353539i | ||||
\(121\) | 2.16749 | 0.197044 | ||||||||
\(122\) | −3.94018 | + | 3.94018i | −0.356727 | + | 0.356727i | ||||
\(123\) | −4.00701 | − | 3.43137i | −0.361300 | − | 0.309396i | ||||
\(124\) | − | 6.33502i | − | 0.568902i | ||||||
\(125\) | 2.85813 | − | 10.8088i | 0.255639 | − | 0.966772i | ||||
\(126\) | 1.27946 | + | 8.21699i | 0.113983 | + | 0.732028i | ||||
\(127\) | −9.95020 | − | 9.95020i | −0.882938 | − | 0.882938i | 0.110895 | − | 0.993832i | \(-0.464628\pi\) |
−0.993832 | + | 0.110895i | \(0.964628\pi\) | |||||||
\(128\) | −0.707107 | − | 0.707107i | −0.0625000 | − | 0.0625000i | ||||
\(129\) | 0.340552 | + | 4.40057i | 0.0299840 | + | 0.387448i | ||||
\(130\) | 4.19851 | + | 0.362682i | 0.368234 | + | 0.0318093i | ||||
\(131\) | − | 4.14724i | − | 0.362346i | −0.983451 | − | 0.181173i | \(-0.942011\pi\) | ||
0.983451 | − | 0.181173i | \(-0.0579894\pi\) | |||||||
\(132\) | 3.34819 | − | 3.90988i | 0.291423 | − | 0.340311i | ||||
\(133\) | −12.5957 | + | 12.5957i | −1.09219 | + | 1.09219i | ||||
\(134\) | −13.3086 | −1.14969 | ||||||||
\(135\) | 6.93752 | − | 9.32045i | 0.597087 | − | 0.802177i | ||||
\(136\) | 0.307349 | 0.0263550 | ||||||||
\(137\) | 6.71805 | − | 6.71805i | 0.573962 | − | 0.573962i | −0.359271 | − | 0.933233i | \(-0.616975\pi\) |
0.933233 | + | 0.359271i | \(0.116975\pi\) | |||||||
\(138\) | 1.12660 | − | 1.31559i | 0.0959022 | − | 0.111991i | ||||
\(139\) | − | 21.3303i | − | 1.80921i | −0.426247 | − | 0.904607i | \(-0.640165\pi\) | ||
0.426247 | − | 0.904607i | \(-0.359835\pi\) | |||||||
\(140\) | 3.98945 | + | 4.74387i | 0.337170 | + | 0.400930i | ||||
\(141\) | −0.0376896 | − | 0.487019i | −0.00317404 | − | 0.0410144i | ||||
\(142\) | 5.40925 | + | 5.40925i | 0.453934 | + | 0.453934i | ||||
\(143\) | −3.96052 | − | 3.96052i | −0.331195 | − | 0.331195i | ||||
\(144\) | 0.461565 | + | 2.96428i | 0.0384638 | + | 0.247023i | ||||
\(145\) | 0.234784 | − | 2.71793i | 0.0194978 | − | 0.225712i | ||||
\(146\) | − | 5.73758i | − | 0.474845i | ||||||
\(147\) | 0.899860 | + | 0.770587i | 0.0742192 | + | 0.0635569i | ||||
\(148\) | 1.43305 | − | 1.43305i | 0.117796 | − | 0.117796i | ||||
\(149\) | 2.04707 | 0.167703 | 0.0838514 | − | 0.996478i | \(-0.473278\pi\) | ||||
0.0838514 | + | 0.996478i | \(0.473278\pi\) | |||||||
\(150\) | 0.822390 | − | 8.62112i | 0.0671479 | − | 0.703911i | ||||
\(151\) | −2.64015 | −0.214852 | −0.107426 | − | 0.994213i | \(-0.534261\pi\) | ||||
−0.107426 | + | 0.994213i | \(0.534261\pi\) | |||||||
\(152\) | −4.54391 | + | 4.54391i | −0.368560 | + | 0.368560i | ||||
\(153\) | −0.744535 | − | 0.543912i | −0.0601921 | − | 0.0439727i | ||||
\(154\) | − | 8.23826i | − | 0.663858i | ||||||
\(155\) | −1.21913 | + | 14.1130i | −0.0979227 | + | 1.13358i | ||||
\(156\) | 3.25453 | − | 0.251863i | 0.260571 | − | 0.0201652i | ||||
\(157\) | 0.750993 | + | 0.750993i | 0.0599358 | + | 0.0599358i | 0.736439 | − | 0.676504i | \(-0.236506\pi\) |
−0.676504 | + | 0.736439i | \(0.736506\pi\) | |||||||
\(158\) | 10.2034 | + | 10.2034i | 0.811741 | + | 0.811741i | ||||
\(159\) | 22.4165 | − | 1.73477i | 1.77774 | − | 0.137577i | ||||
\(160\) | 1.43919 | + | 1.71135i | 0.113778 | + | 0.135294i | ||||
\(161\) | − | 2.77200i | − | 0.218464i | ||||||
\(162\) | 4.12773 | − | 7.99761i | 0.324305 | − | 0.628352i | ||||
\(163\) | 6.60415 | − | 6.60415i | 0.517277 | − | 0.517277i | −0.399469 | − | 0.916747i | \(-0.630806\pi\) |
0.916747 | + | 0.399469i | \(0.130806\pi\) | |||||||
\(164\) | −3.04579 | −0.237836 | ||||||||
\(165\) | −8.21143 | + | 8.06598i | −0.639259 | + | 0.627936i | ||||
\(166\) | 17.2160 | 1.33622 | ||||||||
\(167\) | 5.25056 | − | 5.25056i | 0.406300 | − | 0.406300i | −0.474146 | − | 0.880446i | \(-0.657243\pi\) |
0.880446 | + | 0.474146i | \(0.157243\pi\) | |||||||
\(168\) | 3.64682 | + | 3.12292i | 0.281359 | + | 0.240939i | ||||
\(169\) | 9.44819i | 0.726784i | ||||||||
\(170\) | −0.684704 | − | 0.0591471i | −0.0525144 | − | 0.00453638i | ||||
\(171\) | 19.0487 | − | 2.96605i | 1.45669 | − | 0.226819i | ||||
\(172\) | 1.80190 | + | 1.80190i | 0.137393 | + | 0.137393i | ||||
\(173\) | −16.1787 | − | 16.1787i | −1.23004 | − | 1.23004i | −0.963947 | − | 0.266093i | \(-0.914267\pi\) |
−0.266093 | − | 0.963947i | \(-0.585733\pi\) | |||||||
\(174\) | −0.163045 | − | 2.10684i | −0.0123604 | − | 0.159719i | ||||
\(175\) | −7.97466 | − | 11.3360i | −0.602828 | − | 0.856920i | ||||
\(176\) | − | 2.97195i | − | 0.224019i | ||||||
\(177\) | 10.6238 | − | 12.4060i | 0.798533 | − | 0.932495i | ||||
\(178\) | 1.73696 | − | 1.73696i | 0.130191 | − | 0.130191i | ||||
\(179\) | 12.6087 | 0.942418 | 0.471209 | − | 0.882022i | \(-0.343818\pi\) | ||||
0.471209 | + | 0.882022i | \(0.343818\pi\) | |||||||
\(180\) | −0.457809 | − | 6.69256i | −0.0341230 | − | 0.498834i | ||||
\(181\) | −1.75381 | −0.130360 | −0.0651799 | − | 0.997874i | \(-0.520762\pi\) | ||||
−0.0651799 | + | 0.997874i | \(0.520762\pi\) | |||||||
\(182\) | 3.69405 | − | 3.69405i | 0.273822 | − | 0.273822i | ||||
\(183\) | 6.27767 | − | 7.33081i | 0.464059 | − | 0.541909i | ||||
\(184\) | − | 1.00000i | − | 0.0737210i | ||||||
\(185\) | −3.46829 | + | 2.91673i | −0.254994 | + | 0.214442i | ||||
\(186\) | 0.846618 | + | 10.9399i | 0.0620771 | + | 0.802150i | ||||
\(187\) | 0.645891 | + | 0.645891i | 0.0472322 | + | 0.0472322i | ||||
\(188\) | −0.199419 | − | 0.199419i | −0.0145441 | − | 0.0145441i | ||||
\(189\) | −3.30761 | − | 14.0188i | −0.240593 | − | 1.01972i | ||||
\(190\) | 10.9972 | − | 9.24836i | 0.797824 | − | 0.670946i | ||||
\(191\) | − | 26.9285i | − | 1.94848i | −0.225520 | − | 0.974238i | \(-0.572408\pi\) | ||
0.225520 | − | 0.974238i | \(-0.427592\pi\) | |||||||
\(192\) | 1.31559 | + | 1.12660i | 0.0949447 | + | 0.0813050i | ||||
\(193\) | −10.9317 | + | 10.9317i | −0.786878 | + | 0.786878i | −0.980981 | − | 0.194103i | \(-0.937820\pi\) |
0.194103 | + | 0.980981i | \(0.437820\pi\) | |||||||
\(194\) | −12.7102 | −0.912541 | ||||||||
\(195\) | −7.29883 | − | 0.0652180i | −0.522680 | − | 0.00467036i | ||||
\(196\) | 0.683996 | 0.0488568 | ||||||||
\(197\) | −1.97929 | + | 1.97929i | −0.141019 | + | 0.141019i | −0.774092 | − | 0.633073i | \(-0.781793\pi\) |
0.633073 | + | 0.774092i | \(0.281793\pi\) | |||||||
\(198\) | −5.25943 | + | 7.19938i | −0.373771 | + | 0.511637i | ||||
\(199\) | − | 15.8892i | − | 1.12636i | −0.826336 | − | 0.563178i | \(-0.809579\pi\) | ||
0.826336 | − | 0.563178i | \(-0.190421\pi\) | |||||||
\(200\) | −2.87686 | − | 4.08946i | −0.203425 | − | 0.289168i | ||||
\(201\) | 22.9825 | − | 1.77857i | 1.62106 | − | 0.125451i | ||||
\(202\) | 2.12822 | + | 2.12822i | 0.149741 | + | 0.149741i | ||||
\(203\) | −2.39137 | − | 2.39137i | −0.167841 | − | 0.167841i | ||||
\(204\) | −0.530758 | + | 0.0410744i | −0.0371605 | + | 0.00287579i | ||||
\(205\) | 6.78531 | + | 0.586139i | 0.473907 | + | 0.0409377i | ||||
\(206\) | − | 2.57147i | − | 0.179163i | ||||||
\(207\) | −1.76969 | + | 2.42244i | −0.123002 | + | 0.168371i | ||||
\(208\) | 1.33263 | − | 1.33263i | 0.0924013 | − | 0.0924013i | ||||
\(209\) | −19.0980 | −1.32103 | ||||||||
\(210\) | −7.52331 | − | 7.65897i | −0.519158 | − | 0.528519i | ||||
\(211\) | 11.3907 | 0.784169 | 0.392085 | − | 0.919929i | \(-0.371754\pi\) | ||||
0.392085 | + | 0.919929i | \(0.371754\pi\) | |||||||
\(212\) | 9.17886 | − | 9.17886i | 0.630407 | − | 0.630407i | ||||
\(213\) | −10.0641 | − | 8.61826i | −0.689578 | − | 0.590514i | ||||
\(214\) | − | 14.3617i | − | 0.981744i | ||||||
\(215\) | −3.66745 | − | 4.36097i | −0.250118 | − | 0.297416i | ||||
\(216\) | −1.19322 | − | 5.05729i | −0.0811884 | − | 0.344105i | ||||
\(217\) | 12.4173 | + | 12.4173i | 0.842941 | + | 0.842941i | ||||
\(218\) | 2.27888 | + | 2.27888i | 0.154345 | + | 0.154345i | ||||
\(219\) | 0.766775 | + | 9.90815i | 0.0518138 | + | 0.669531i | ||||
\(220\) | −0.571930 | + | 6.62083i | −0.0385595 | + | 0.446377i | ||||
\(221\) | 0.579238i | 0.0389638i | ||||||||
\(222\) | −2.28320 | + | 2.66623i | −0.153239 | + | 0.178946i | ||||
\(223\) | −10.4680 | + | 10.4680i | −0.700989 | + | 0.700989i | −0.964623 | − | 0.263634i | \(-0.915079\pi\) |
0.263634 | + | 0.964623i | \(0.415079\pi\) | |||||||
\(224\) | 2.77200 | 0.185212 | ||||||||
\(225\) | −0.268041 | + | 14.9976i | −0.0178694 | + | 0.999840i | ||||
\(226\) | 5.27488 | 0.350880 | ||||||||
\(227\) | −16.1663 | + | 16.1663i | −1.07299 | + | 1.07299i | −0.0758747 | + | 0.997117i | \(0.524175\pi\) |
−0.997117 | + | 0.0758747i | \(0.975825\pi\) | |||||||
\(228\) | 7.23957 | − | 8.45408i | 0.479453 | − | 0.559885i | ||||
\(229\) | − | 16.0298i | − | 1.05928i | −0.848224 | − | 0.529638i | \(-0.822328\pi\) | ||
0.848224 | − | 0.529638i | \(-0.177672\pi\) | |||||||
\(230\) | −0.192443 | + | 2.22777i | −0.0126893 | + | 0.146895i | ||||
\(231\) | 1.10097 | + | 14.2266i | 0.0724384 | + | 0.936038i | ||||
\(232\) | −0.862686 | − | 0.862686i | −0.0566381 | − | 0.0566381i | ||||
\(233\) | −4.14654 | − | 4.14654i | −0.271649 | − | 0.271649i | 0.558115 | − | 0.829764i | \(-0.311525\pi\) |
−0.829764 | + | 0.558115i | \(0.811525\pi\) | |||||||
\(234\) | −5.58655 | + | 0.869877i | −0.365204 | + | 0.0568657i | ||||
\(235\) | 0.405884 | + | 0.482637i | 0.0264769 | + | 0.0314838i | ||||
\(236\) | − | 9.43000i | − | 0.613841i | ||||||
\(237\) | −18.9838 | − | 16.2566i | −1.23313 | − | 1.05598i | ||||
\(238\) | −0.602436 | + | 0.602436i | −0.0390501 | + | 0.0390501i | ||||
\(239\) | 29.7656 | 1.92538 | 0.962690 | − | 0.270608i | \(-0.0872246\pi\) | ||||
0.962690 | + | 0.270608i | \(0.0872246\pi\) | |||||||
\(240\) | −2.71403 | − | 2.76297i | −0.175190 | − | 0.178349i | ||||
\(241\) | −18.1553 | −1.16949 | −0.584743 | − | 0.811219i | \(-0.698805\pi\) | ||||
−0.584743 | + | 0.811219i | \(0.698805\pi\) | |||||||
\(242\) | −1.53265 | + | 1.53265i | −0.0985222 | + | 0.0985222i | ||||
\(243\) | −6.05932 | + | 14.3626i | −0.388706 | + | 0.921362i | ||||
\(244\) | − | 5.57225i | − | 0.356727i | ||||||
\(245\) | −1.52379 | − | 0.131630i | −0.0973512 | − | 0.00840953i | ||||
\(246\) | 5.25973 | − | 0.407041i | 0.335348 | − | 0.0259520i | ||||
\(247\) | −8.56357 | − | 8.56357i | −0.544887 | − | 0.544887i | ||||
\(248\) | 4.47954 | + | 4.47954i | 0.284451 | + | 0.284451i | ||||
\(249\) | −29.7301 | + | 2.30076i | −1.88407 | + | 0.145805i | ||||
\(250\) | 5.62200 | + | 9.66401i | 0.355567 | + | 0.611206i | ||||
\(251\) | 19.1213i | 1.20693i | 0.797390 | + | 0.603464i | \(0.206213\pi\) | ||||
−0.797390 | + | 0.603464i | \(0.793787\pi\) | |||||||
\(252\) | −6.71501 | − | 4.90558i | −0.423006 | − | 0.309022i | ||||
\(253\) | 2.10149 | − | 2.10149i | 0.132119 | − | 0.132119i | ||||
\(254\) | 14.0717 | 0.882938 | ||||||||
\(255\) | 1.19031 | + | 0.0106359i | 0.0745402 | + | 0.000666048i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 17.0084 | − | 17.0084i | 1.06096 | − | 1.06096i | 0.0629387 | − | 0.998017i | \(-0.479953\pi\) |
0.998017 | − | 0.0629387i | \(-0.0200473\pi\) | |||||||
\(258\) | −3.35248 | − | 2.87086i | −0.208716 | − | 0.178732i | ||||
\(259\) | 5.61785i | 0.349076i | ||||||||
\(260\) | −3.22525 | + | 2.71234i | −0.200022 | + | 0.168212i | ||||
\(261\) | 0.563120 | + | 3.61649i | 0.0348563 | + | 0.223855i | ||||
\(262\) | 2.93254 | + | 2.93254i | 0.181173 | + | 0.181173i | ||||
\(263\) | 12.3574 | + | 12.3574i | 0.761992 | + | 0.761992i | 0.976682 | − | 0.214690i | \(-0.0688741\pi\) |
−0.214690 | + | 0.976682i | \(0.568874\pi\) | |||||||
\(264\) | 0.397175 | + | 5.13223i | 0.0244444 | + | 0.315867i | ||||
\(265\) | −22.2148 | + | 18.6820i | −1.36464 | + | 1.14763i | ||||
\(266\) | − | 17.8131i | − | 1.09219i | ||||||
\(267\) | −2.76740 | + | 3.23166i | −0.169362 | + | 0.197774i | ||||
\(268\) | 9.41060 | − | 9.41060i | 0.574844 | − | 0.574844i | ||||
\(269\) | 20.0999 | 1.22552 | 0.612758 | − | 0.790271i | \(-0.290060\pi\) | ||||
0.612758 | + | 0.790271i | \(0.290060\pi\) | |||||||
\(270\) | 1.68498 | + | 11.4961i | 0.102545 | + | 0.699632i | ||||
\(271\) | −27.8676 | −1.69284 | −0.846419 | − | 0.532518i | \(-0.821246\pi\) | ||||
−0.846419 | + | 0.532518i | \(0.821246\pi\) | |||||||
\(272\) | −0.217329 | + | 0.217329i | −0.0131775 | + | 0.0131775i | ||||
\(273\) | −5.88554 | + | 6.87289i | −0.356209 | + | 0.415966i | ||||
\(274\) | 9.50076i | 0.573962i | ||||||||
\(275\) | 2.54826 | − | 14.6396i | 0.153666 | − | 0.882804i | ||||
\(276\) | 0.133641 | + | 1.72689i | 0.00804423 | + | 0.103946i | ||||
\(277\) | 7.04930 | + | 7.04930i | 0.423551 | + | 0.423551i | 0.886424 | − | 0.462873i | \(-0.153182\pi\) |
−0.462873 | + | 0.886424i | \(0.653182\pi\) | |||||||
\(278\) | 15.0828 | + | 15.0828i | 0.904607 | + | 0.904607i | ||||
\(279\) | −2.92403 | − | 18.7788i | −0.175057 | − | 1.12426i | ||||
\(280\) | −6.17539 | − | 0.533451i | −0.369050 | − | 0.0318798i | ||||
\(281\) | 15.7886i | 0.941867i | 0.882169 | + | 0.470934i | \(0.156083\pi\) | ||||
−0.882169 | + | 0.470934i | \(0.843917\pi\) | |||||||
\(282\) | 0.371025 | + | 0.317724i | 0.0220942 | + | 0.0189202i | ||||
\(283\) | 13.2043 | − | 13.2043i | 0.784912 | − | 0.784912i | −0.195743 | − | 0.980655i | \(-0.562712\pi\) |
0.980655 | + | 0.195743i | \(0.0627118\pi\) | |||||||
\(284\) | −7.64983 | −0.453934 | ||||||||
\(285\) | −17.7550 | + | 17.4406i | −1.05172 | + | 1.03309i | ||||
\(286\) | 5.60102 | 0.331195 | ||||||||
\(287\) | 5.97005 | − | 5.97005i | 0.352401 | − | 0.352401i | ||||
\(288\) | −2.42244 | − | 1.76969i | −0.142744 | − | 0.104280i | ||||
\(289\) | 16.9055i | 0.994443i | ||||||||
\(290\) | 1.75585 | + | 2.08788i | 0.103107 | + | 0.122605i | ||||
\(291\) | 21.9491 | − | 1.69860i | 1.28668 | − | 0.0995740i | ||||
\(292\) | 4.05708 | + | 4.05708i | 0.237423 | + | 0.237423i | ||||
\(293\) | 6.93824 | + | 6.93824i | 0.405336 | + | 0.405336i | 0.880109 | − | 0.474772i | \(-0.157470\pi\) |
−0.474772 | + | 0.880109i | \(0.657470\pi\) | |||||||
\(294\) | −1.18118 | + | 0.0914098i | −0.0688880 | + | 0.00533113i | ||||
\(295\) | −1.81473 | + | 21.0079i | −0.105658 | + | 1.22313i | ||||
\(296\) | 2.02664i | 0.117796i | ||||||||
\(297\) | 8.12031 | − | 13.1354i | 0.471188 | − | 0.762192i | ||||
\(298\) | −1.44750 | + | 1.44750i | −0.0838514 | + | 0.0838514i | ||||
\(299\) | 1.88462 | 0.108991 | ||||||||
\(300\) | 5.51453 | + | 6.67757i | 0.318382 | + | 0.385530i | ||||
\(301\) | −7.06380 | −0.407150 | ||||||||
\(302\) | 1.86687 | − | 1.86687i | 0.107426 | − | 0.107426i | ||||
\(303\) | −3.95962 | − | 3.39078i | −0.227474 | − | 0.194795i | ||||
\(304\) | − | 6.42606i | − | 0.368560i | ||||||
\(305\) | −1.07234 | + | 12.4137i | −0.0614019 | + | 0.710807i | ||||
\(306\) | 0.911070 | − | 0.141862i | 0.0520824 | − | 0.00810970i | ||||
\(307\) | −8.38939 | − | 8.38939i | −0.478808 | − | 0.478808i | 0.425943 | − | 0.904750i | \(-0.359943\pi\) |
−0.904750 | + | 0.425943i | \(0.859943\pi\) | |||||||
\(308\) | 5.82533 | + | 5.82533i | 0.331929 | + | 0.331929i | ||||
\(309\) | 0.343654 | + | 4.44065i | 0.0195498 | + | 0.252620i | ||||
\(310\) | −9.11733 | − | 10.8414i | −0.517830 | − | 0.615753i | ||||
\(311\) | 22.7094i | 1.28773i | 0.765139 | + | 0.643865i | \(0.222670\pi\) | ||||
−0.765139 | + | 0.643865i | \(0.777330\pi\) | |||||||
\(312\) | −2.12321 | + | 2.47940i | −0.120203 | + | 0.140368i | ||||
\(313\) | −19.0911 | + | 19.0911i | −1.07909 | + | 1.07909i | −0.0825035 | + | 0.996591i | \(0.526292\pi\) |
−0.996591 | + | 0.0825035i | \(0.973708\pi\) | |||||||
\(314\) | −1.06206 | −0.0599358 | ||||||||
\(315\) | 14.0155 | + | 12.2208i | 0.789681 | + | 0.688561i | ||||
\(316\) | −14.4298 | −0.811741 | ||||||||
\(317\) | −0.0275450 | + | 0.0275450i | −0.00154708 | + | 0.00154708i | −0.707880 | − | 0.706333i | \(-0.750348\pi\) |
0.706333 | + | 0.707880i | \(0.250348\pi\) | |||||||
\(318\) | −14.6242 | + | 17.0775i | −0.820084 | + | 0.957660i | ||||
\(319\) | − | 3.62585i | − | 0.203009i | ||||||
\(320\) | −2.22777 | − | 0.192443i | −0.124536 | − | 0.0107579i | ||||
\(321\) | 1.91931 | + | 24.8010i | 0.107125 | + | 1.38426i | ||||
\(322\) | 1.96010 | + | 1.96010i | 0.109232 | + | 0.109232i | ||||
\(323\) | 1.39657 | + | 1.39657i | 0.0777072 | + | 0.0777072i | ||||
\(324\) | 2.73642 | + | 8.57391i | 0.152023 | + | 0.476329i | ||||
\(325\) | 7.70709 | − | 5.42180i | 0.427513 | − | 0.300747i | ||||
\(326\) | 9.33968i | 0.517277i | ||||||||
\(327\) | −4.23992 | − | 3.63082i | −0.234468 | − | 0.200785i | ||||
\(328\) | 2.15370 | − | 2.15370i | 0.118918 | − | 0.118918i | ||||
\(329\) | 0.781764 | 0.0431000 | ||||||||
\(330\) | 0.102845 | − | 11.5099i | 0.00566146 | − | 0.633597i | ||||
\(331\) | 1.05162 | 0.0578024 | 0.0289012 | − | 0.999582i | \(-0.490799\pi\) | ||||
0.0289012 | + | 0.999582i | \(0.490799\pi\) | |||||||
\(332\) | −12.1736 | + | 12.1736i | −0.668111 | + | 0.668111i | ||||
\(333\) | 3.58652 | − | 4.90941i | 0.196540 | − | 0.269034i | ||||
\(334\) | 7.42541i | 0.406300i | ||||||||
\(335\) | −22.7757 | + | 19.1537i | −1.24437 | + | 1.04648i | ||||
\(336\) | −4.78694 | + | 0.370453i | −0.261149 | + | 0.0202099i | ||||
\(337\) | −10.0242 | − | 10.0242i | −0.546054 | − | 0.546054i | 0.379243 | − | 0.925297i | \(-0.376184\pi\) |
−0.925297 | + | 0.379243i | \(0.876184\pi\) | |||||||
\(338\) | −6.68088 | − | 6.68088i | −0.363392 | − | 0.363392i | ||||
\(339\) | −9.10912 | + | 0.704939i | −0.494740 | + | 0.0382871i | ||||
\(340\) | 0.525982 | − | 0.442336i | 0.0285254 | − | 0.0239890i | ||||
\(341\) | 18.8274i | 1.01956i | ||||||||
\(342\) | −11.3721 | + | 15.5667i | −0.614934 | + | 0.841753i | ||||
\(343\) | 12.3800 | − | 12.3800i | 0.668458 | − | 0.668458i | ||||
\(344\) | −2.54827 | −0.137393 | ||||||||
\(345\) | 0.0346053 | − | 3.87283i | 0.00186309 | − | 0.208506i | ||||
\(346\) | 22.8801 | 1.23004 | ||||||||
\(347\) | 18.2887 | − | 18.2887i | 0.981790 | − | 0.981790i | −0.0180467 | − | 0.999837i | \(-0.505745\pi\) |
0.999837 | + | 0.0180467i | \(0.00574476\pi\) | |||||||
\(348\) | 1.60505 | + | 1.37447i | 0.0860398 | + | 0.0736794i | ||||
\(349\) | − | 28.7041i | − | 1.53649i | −0.640154 | − | 0.768247i | \(-0.721129\pi\) | ||
0.640154 | − | 0.768247i | \(-0.278871\pi\) | |||||||
\(350\) | 13.6547 | + | 2.37681i | 0.729874 | + | 0.127046i | ||||
\(351\) | 9.53110 | − | 2.24877i | 0.508732 | − | 0.120031i | ||||
\(352\) | 2.10149 | + | 2.10149i | 0.112010 | + | 0.112010i | ||||
\(353\) | 10.4582 | + | 10.4582i | 0.556631 | + | 0.556631i | 0.928347 | − | 0.371715i | \(-0.121230\pi\) |
−0.371715 | + | 0.928347i | \(0.621230\pi\) | |||||||
\(354\) | 1.26023 | + | 16.2846i | 0.0669807 | + | 0.865514i | ||||
\(355\) | 17.0421 | + | 1.47215i | 0.904499 | + | 0.0781337i | ||||
\(356\) | 2.45643i | 0.130191i | ||||||||
\(357\) | 0.959829 | − | 1.12085i | 0.0507995 | − | 0.0593216i | ||||
\(358\) | −8.91569 | + | 8.91569i | −0.471209 | + | 0.471209i | ||||
\(359\) | −10.4419 | −0.551105 | −0.275552 | − | 0.961286i | \(-0.588861\pi\) | ||||
−0.275552 | + | 0.961286i | \(0.588861\pi\) | |||||||
\(360\) | 5.05608 | + | 4.40864i | 0.266479 | + | 0.232356i | ||||
\(361\) | −22.2943 | −1.17338 | ||||||||
\(362\) | 1.24013 | − | 1.24013i | 0.0651799 | − | 0.0651799i | ||||
\(363\) | 2.44188 | − | 2.85153i | 0.128166 | − | 0.149667i | ||||
\(364\) | 5.22418i | 0.273822i | ||||||||
\(365\) | −8.25749 | − | 9.81900i | −0.432217 | − | 0.513950i | ||||
\(366\) | 0.744681 | + | 9.62265i | 0.0389251 | + | 0.502984i | ||||
\(367\) | 11.3139 | + | 11.3139i | 0.590580 | + | 0.590580i | 0.937788 | − | 0.347208i | \(-0.112870\pi\) |
−0.347208 | + | 0.937788i | \(0.612870\pi\) | |||||||
\(368\) | 0.707107 | + | 0.707107i | 0.0368605 | + | 0.0368605i | ||||
\(369\) | −9.02856 | + | 1.40583i | −0.470008 | + | 0.0731846i | ||||
\(370\) | 0.390012 | − | 4.51489i | 0.0202758 | − | 0.234718i | ||||
\(371\) | 35.9830i | 1.86814i | ||||||||
\(372\) | −8.33431 | − | 7.13701i | −0.432114 | − | 0.370037i | ||||
\(373\) | −20.2494 | + | 20.2494i | −1.04847 | + | 1.04847i | −0.0497082 | + | 0.998764i | \(0.515829\pi\) |
−0.998764 | + | 0.0497082i | \(0.984171\pi\) | |||||||
\(374\) | −0.913428 | −0.0472322 | ||||||||
\(375\) | −11.0001 | − | 15.9373i | −0.568041 | − | 0.823000i | ||||
\(376\) | 0.282021 | 0.0145441 | ||||||||
\(377\) | 1.62584 | − | 1.62584i | 0.0837349 | − | 0.0837349i | ||||
\(378\) | 12.2516 | + | 7.57398i | 0.630157 | + | 0.389563i | ||||
\(379\) | − | 31.4641i | − | 1.61620i | −0.589042 | − | 0.808102i | \(-0.700495\pi\) | ||
0.589042 | − | 0.808102i | \(-0.299505\pi\) | |||||||
\(380\) | −1.23665 | + | 14.3158i | −0.0634387 | + | 0.734385i | ||||
\(381\) | −24.3003 | + | 1.88056i | −1.24494 | + | 0.0963438i | ||||
\(382\) | 19.0413 | + | 19.0413i | 0.974238 | + | 0.974238i | ||||
\(383\) | −5.10098 | − | 5.10098i | −0.260648 | − | 0.260648i | 0.564669 | − | 0.825317i | \(-0.309004\pi\) |
−0.825317 | + | 0.564669i | \(0.809004\pi\) | |||||||
\(384\) | −1.72689 | + | 0.133641i | −0.0881249 | + | 0.00681983i | ||||
\(385\) | −11.8565 | − | 14.0985i | −0.604261 | − | 0.718529i | ||||
\(386\) | − | 15.4597i | − | 0.786878i | ||||||
\(387\) | 6.17302 | + | 4.50963i | 0.313792 | + | 0.229237i | ||||
\(388\) | 8.98748 | − | 8.98748i | 0.456270 | − | 0.456270i | ||||
\(389\) | 18.3647 | 0.931129 | 0.465565 | − | 0.885014i | \(-0.345851\pi\) | ||||
0.465565 | + | 0.885014i | \(0.345851\pi\) | |||||||
\(390\) | 5.20717 | − | 5.11493i | 0.263675 | − | 0.259005i | ||||
\(391\) | −0.307349 | −0.0155433 | ||||||||
\(392\) | −0.483658 | + | 0.483658i | −0.0244284 | + | 0.0244284i | ||||
\(393\) | −5.45608 | − | 4.67226i | −0.275223 | − | 0.235685i | ||||
\(394\) | − | 2.79914i | − | 0.141019i | ||||||
\(395\) | 32.1463 | + | 2.77691i | 1.61746 | + | 0.139722i | ||||
\(396\) | −1.37175 | − | 8.80970i | −0.0689331 | − | 0.442704i | ||||
\(397\) | −6.90089 | − | 6.90089i | −0.346346 | − | 0.346346i | 0.512401 | − | 0.858746i | \(-0.328756\pi\) |
−0.858746 | + | 0.512401i | \(0.828756\pi\) | |||||||
\(398\) | 11.2354 | + | 11.2354i | 0.563178 | + | 0.563178i | ||||
\(399\) | 2.38055 | + | 30.7612i | 0.119177 | + | 1.53998i | ||||
\(400\) | 4.92593 | + | 0.857436i | 0.246297 | + | 0.0428718i | ||||
\(401\) | − | 18.3481i | − | 0.916261i | −0.888885 | − | 0.458131i | \(-0.848519\pi\) | ||
0.888885 | − | 0.458131i | \(-0.151481\pi\) | |||||||
\(402\) | −14.9934 | + | 17.5087i | −0.747803 | + | 0.873254i | ||||
\(403\) | −8.44225 | + | 8.44225i | −0.420538 | + | 0.420538i | ||||
\(404\) | −3.00976 | −0.149741 | ||||||||
\(405\) | −4.44613 | − | 19.6273i | −0.220930 | − | 0.975290i | ||||
\(406\) | 3.38190 | 0.167841 | ||||||||
\(407\) | −4.25896 | + | 4.25896i | −0.211109 | + | 0.211109i | ||||
\(408\) | 0.346258 | − | 0.404346i | 0.0171423 | − | 0.0200181i | ||||
\(409\) | 15.8713i | 0.784783i | 0.919798 | + | 0.392392i | \(0.128352\pi\) | ||||
−0.919798 | + | 0.392392i | \(0.871648\pi\) | |||||||
\(410\) | −5.21240 | + | 4.38348i | −0.257422 | + | 0.216485i | ||||
\(411\) | −1.26969 | − | 16.4067i | −0.0626292 | − | 0.809285i | ||||
\(412\) | 1.81831 | + | 1.81831i | 0.0895816 | + | 0.0895816i | ||||
\(413\) | 18.4838 | + | 18.4838i | 0.909526 | + | 0.909526i | ||||
\(414\) | −0.461565 | − | 2.96428i | −0.0226847 | − | 0.145686i | ||||
\(415\) | 29.4626 | − | 24.7772i | 1.44626 | − | 1.21626i | ||||
\(416\) | 1.88462i | 0.0924013i | ||||||||
\(417\) | −28.0620 | − | 24.0306i | −1.37420 | − | 1.17679i | ||||
\(418\) | 13.5043 | − | 13.5043i | 0.660517 | − | 0.660517i | ||||
\(419\) | −19.9035 | −0.972349 | −0.486175 | − | 0.873862i | \(-0.661608\pi\) | ||||
−0.486175 | + | 0.873862i | \(0.661608\pi\) | |||||||
\(420\) | 10.7355 | + | 0.0959261i | 0.523838 | + | 0.00468071i | ||||
\(421\) | −9.07200 | −0.442142 | −0.221071 | − | 0.975258i | \(-0.570955\pi\) | ||||
−0.221071 | + | 0.975258i | \(0.570955\pi\) | |||||||
\(422\) | −8.05445 | + | 8.05445i | −0.392085 | + | 0.392085i | ||||
\(423\) | −0.683180 | − | 0.499089i | −0.0332173 | − | 0.0242666i | ||||
\(424\) | 12.9809i | 0.630407i | ||||||||
\(425\) | −1.25689 | + | 0.884201i | −0.0609682 | + | 0.0428901i | ||||
\(426\) | 13.2104 | − | 1.02233i | 0.640046 | − | 0.0495320i | ||||
\(427\) | 10.9222 | + | 10.9222i | 0.528561 | + | 0.528561i | ||||
\(428\) | 10.1552 | + | 10.1552i | 0.490872 | + | 0.490872i | ||||
\(429\) | −9.67232 | + | 0.748525i | −0.466984 | + | 0.0361391i | ||||
\(430\) | 5.67695 | + | 0.490395i | 0.273767 | + | 0.0236489i | ||||
\(431\) | 6.60333i | 0.318071i | 0.987273 | + | 0.159036i | \(0.0508384\pi\) | ||||
−0.987273 | + | 0.159036i | \(0.949162\pi\) | |||||||
\(432\) | 4.41978 | + | 2.73231i | 0.212647 | + | 0.131458i | ||||
\(433\) | −2.95935 | + | 2.95935i | −0.142217 | + | 0.142217i | −0.774631 | − | 0.632414i | \(-0.782064\pi\) |
0.632414 | + | 0.774631i | \(0.282064\pi\) | |||||||
\(434\) | −17.5607 | −0.842941 | ||||||||
\(435\) | −3.31118 | − | 3.37089i | −0.158759 | − | 0.161622i | ||||
\(436\) | −3.22282 | −0.154345 | ||||||||
\(437\) | 4.54391 | − | 4.54391i | 0.217365 | − | 0.217365i | ||||
\(438\) | −7.54831 | − | 6.46393i | −0.360672 | − | 0.308858i | ||||
\(439\) | − | 11.2528i | − | 0.537068i | −0.963270 | − | 0.268534i | \(-0.913461\pi\) | ||
0.963270 | − | 0.268534i | \(-0.0865392\pi\) | |||||||
\(440\) | −4.27722 | − | 5.08605i | −0.203909 | − | 0.242468i | ||||
\(441\) | 2.02756 | − | 0.315709i | 0.0965503 | − | 0.0150338i | ||||
\(442\) | −0.409583 | − | 0.409583i | −0.0194819 | − | 0.0194819i | ||||
\(443\) | 16.2317 | + | 16.2317i | 0.771194 | + | 0.771194i | 0.978315 | − | 0.207122i | \(-0.0664096\pi\) |
−0.207122 | + | 0.978315i | \(0.566410\pi\) | |||||||
\(444\) | −0.270842 | − | 3.49978i | −0.0128536 | − | 0.166092i | ||||
\(445\) | 0.472722 | − | 5.47236i | 0.0224092 | − | 0.259415i | ||||
\(446\) | − | 14.8040i | − | 0.700989i | ||||||
\(447\) | 2.30622 | − | 2.69311i | 0.109081 | − | 0.127380i | ||||
\(448\) | −1.96010 | + | 1.96010i | −0.0926061 | + | 0.0926061i | ||||
\(449\) | 3.47861 | 0.164166 | 0.0820828 | − | 0.996626i | \(-0.473843\pi\) | ||||
0.0820828 | + | 0.996626i | \(0.473843\pi\) | |||||||
\(450\) | −10.4154 | − | 10.7944i | −0.490985 | − | 0.508855i | ||||
\(451\) | 9.05193 | 0.426239 | ||||||||
\(452\) | −3.72990 | + | 3.72990i | −0.175440 | + | 0.175440i | ||||
\(453\) | −2.97438 | + | 3.47336i | −0.139749 | + | 0.163193i | ||||
\(454\) | − | 22.8625i | − | 1.07299i | ||||||
\(455\) | 1.00535 | − | 11.6383i | 0.0471318 | − | 0.545611i | ||||
\(456\) | 0.858785 | + | 11.0971i | 0.0402163 | + | 0.519669i | ||||
\(457\) | 24.5212 | + | 24.5212i | 1.14705 | + | 1.14705i | 0.987129 | + | 0.159925i | \(0.0511251\pi\) |
0.159925 | + | 0.987129i | \(0.448875\pi\) | |||||||
\(458\) | 11.3347 | + | 11.3347i | 0.529638 | + | 0.529638i | ||||
\(459\) | −1.55436 | + | 0.366736i | −0.0725511 | + | 0.0171178i | ||||
\(460\) | −1.43919 | − | 1.71135i | −0.0671028 | − | 0.0797921i | ||||
\(461\) | 7.06441i | 0.329022i | 0.986375 | + | 0.164511i | \(0.0526047\pi\) | ||||
−0.986375 | + | 0.164511i | \(0.947395\pi\) | |||||||
\(462\) | −10.8382 | − | 9.28119i | −0.504238 | − | 0.431800i | ||||
\(463\) | 4.91698 | − | 4.91698i | 0.228512 | − | 0.228512i | −0.583559 | − | 0.812071i | \(-0.698340\pi\) |
0.812071 | + | 0.583559i | \(0.198340\pi\) | |||||||
\(464\) | 1.22002 | 0.0566381 | ||||||||
\(465\) | 17.1935 | + | 17.5035i | 0.797328 | + | 0.811705i | ||||
\(466\) | 5.86409 | 0.271649 | ||||||||
\(467\) | −0.279235 | + | 0.279235i | −0.0129214 | + | 0.0129214i | −0.713538 | − | 0.700617i | \(-0.752908\pi\) |
0.700617 | + | 0.713538i | \(0.252908\pi\) | |||||||
\(468\) | 3.33519 | − | 4.56539i | 0.154169 | − | 0.211035i | ||||
\(469\) | 36.8915i | 1.70349i | ||||||||
\(470\) | −0.628279 | − | 0.0542729i | −0.0289804 | − | 0.00250342i | ||||
\(471\) | 1.83407 | − | 0.141935i | 0.0845093 | − | 0.00654003i | ||||
\(472\) | 6.66802 | + | 6.66802i | 0.306920 | + | 0.306920i | ||||
\(473\) | −5.35515 | − | 5.35515i | −0.246230 | − | 0.246230i | ||||
\(474\) | 24.9187 | − | 1.92841i | 1.14455 | − | 0.0885750i | ||||
\(475\) | 5.50994 | − | 31.6544i | 0.252813 | − | 1.45240i | ||||
\(476\) | − | 0.851973i | − | 0.0390501i | ||||||
\(477\) | 22.9721 | − | 31.4454i | 1.05182 | − | 1.43978i | ||||
\(478\) | −21.0475 | + | 21.0475i | −0.962690 | + | 0.962690i | ||||
\(479\) | 19.9714 | 0.912518 | 0.456259 | − | 0.889847i | \(-0.349189\pi\) | ||||
0.456259 | + | 0.889847i | \(0.349189\pi\) | |||||||
\(480\) | 3.87283 | + | 0.0346053i | 0.176770 | + | 0.00157951i | ||||
\(481\) | −3.81946 | −0.174152 | ||||||||
\(482\) | 12.8377 | − | 12.8377i | 0.584743 | − | 0.584743i | ||||
\(483\) | −3.64682 | − | 3.12292i | −0.165936 | − | 0.142098i | ||||
\(484\) | − | 2.16749i | − | 0.0985222i | ||||||
\(485\) | −21.7516 | + | 18.2925i | −0.987691 | + | 0.830619i | ||||
\(486\) | −5.87131 | − | 14.4405i | −0.266328 | − | 0.655034i | ||||
\(487\) | −1.40410 | − | 1.40410i | −0.0636258 | − | 0.0636258i | 0.674578 | − | 0.738204i | \(-0.264326\pi\) |
−0.738204 | + | 0.674578i | \(0.764326\pi\) | |||||||
\(488\) | 3.94018 | + | 3.94018i | 0.178363 | + | 0.178363i | ||||
\(489\) | −1.24816 | − | 16.1286i | −0.0564439 | − | 0.729360i | ||||
\(490\) | 1.17056 | − | 0.984403i | 0.0528803 | − | 0.0444708i | ||||
\(491\) | − | 6.45884i | − | 0.291483i | −0.989323 | − | 0.145742i | \(-0.953443\pi\) | ||
0.989323 | − | 0.145742i | \(-0.0465568\pi\) | |||||||
\(492\) | −3.43137 | + | 4.00701i | −0.154698 | + | 0.180650i | ||||
\(493\) | −0.265146 | + | 0.265146i | −0.0119416 | + | 0.0119416i | ||||
\(494\) | 12.1107 | 0.544887 | ||||||||
\(495\) | 1.36059 | + | 19.8900i | 0.0611538 | + | 0.893989i | ||||
\(496\) | −6.33502 | −0.284451 | ||||||||
\(497\) | 14.9944 | − | 14.9944i | 0.672593 | − | 0.672593i | ||||
\(498\) | 19.3955 | − | 22.6492i | 0.869132 | − | 1.01494i | ||||
\(499\) | 9.53761i | 0.426962i | 0.976947 | + | 0.213481i | \(0.0684802\pi\) | ||||
−0.976947 | + | 0.213481i | \(0.931520\pi\) | |||||||
\(500\) | −10.8088 | − | 2.85813i | −0.483386 | − | 0.127819i | ||||
\(501\) | −0.992338 | − | 12.8228i | −0.0443344 | − | 0.572883i | ||||
\(502\) | −13.5208 | − | 13.5208i | −0.603464 | − | 0.603464i | ||||
\(503\) | −15.2096 | − | 15.2096i | −0.678161 | − | 0.678161i | 0.281423 | − | 0.959584i | \(-0.409194\pi\) |
−0.959584 | + | 0.281423i | \(0.909194\pi\) | |||||||
\(504\) | 8.21699 | − | 1.27946i | 0.366014 | − | 0.0569917i | ||||
\(505\) | 6.70506 | + | 0.579206i | 0.298371 | + | 0.0257743i | ||||
\(506\) | 2.97195i | 0.132119i | ||||||||
\(507\) | 12.4300 | + | 10.6443i | 0.552034 | + | 0.472730i | ||||
\(508\) | −9.95020 | + | 9.95020i | −0.441469 | + | 0.441469i | ||||
\(509\) | 27.1370 | 1.20282 | 0.601412 | − | 0.798939i | \(-0.294605\pi\) | ||||
0.601412 | + | 0.798939i | \(0.294605\pi\) | |||||||
\(510\) | −0.849198 | + | 0.834157i | −0.0376031 | + | 0.0369371i | ||||
\(511\) | −15.9046 | −0.703577 | ||||||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 17.5580 | − | 28.4018i | 0.775205 | − | 1.25397i | ||||
\(514\) | 24.0535i | 1.06096i | ||||||||
\(515\) | −3.70085 | − | 4.40069i | −0.163079 | − | 0.193918i | ||||
\(516\) | 4.40057 | − | 0.340552i | 0.193724 | − | 0.0149920i | ||||
\(517\) | 0.592665 | + | 0.592665i | 0.0260654 | + | 0.0260654i | ||||
\(518\) | −3.97242 | − | 3.97242i | −0.174538 | − | 0.174538i | ||||
\(519\) | −39.5113 | + | 3.05771i | −1.73435 | + | 0.134219i | ||||
\(520\) | 0.362682 | − | 4.19851i | 0.0159047 | − | 0.184117i | ||||
\(521\) | 41.9658i | 1.83855i | 0.393611 | + | 0.919277i | \(0.371226\pi\) | ||||
−0.393611 | + | 0.919277i | \(0.628774\pi\) | |||||||
\(522\) | −2.95543 | − | 2.15906i | −0.129356 | − | 0.0944994i | ||||
\(523\) | 22.7710 | − | 22.7710i | 0.995704 | − | 0.995704i | −0.00428643 | − | 0.999991i | \(-0.501364\pi\) |
0.999991 | + | 0.00428643i | \(0.00136442\pi\) | |||||||
\(524\) | −4.14724 | −0.181173 | ||||||||
\(525\) | −23.8978 | − | 2.27967i | −1.04298 | − | 0.0994928i | ||||
\(526\) | −17.4761 | −0.761992 | ||||||||
\(527\) | 1.37678 | − | 1.37678i | 0.0599736 | − | 0.0599736i | ||||
\(528\) | −3.90988 | − | 3.34819i | −0.170156 | − | 0.145711i | ||||
\(529\) | 1.00000i | 0.0434783i | ||||||||
\(530\) | 2.49807 | − | 28.9184i | 0.108509 | − | 1.25614i | ||||
\(531\) | −4.35256 | − | 27.9532i | −0.188885 | − | 1.21306i | ||||
\(532\) | 12.5957 | + | 12.5957i | 0.546094 | + | 0.546094i | ||||
\(533\) | 4.05891 | + | 4.05891i | 0.175811 | + | 0.175811i | ||||
\(534\) | −0.328279 | − | 4.24198i | −0.0142060 | − | 0.183568i | ||||
\(535\) | −20.6693 | − | 24.5779i | −0.893610 | − | 1.06259i | ||||
\(536\) | 13.3086i | 0.574844i | ||||||||
\(537\) | 14.2049 | − | 16.5879i | 0.612986 | − | 0.715820i | ||||
\(538\) | −14.2128 | + | 14.2128i | −0.612758 | + | 0.612758i | ||||
\(539\) | −2.03280 | −0.0875591 | ||||||||
\(540\) | −9.32045 | − | 6.93752i | −0.401088 | − | 0.298543i | ||||
\(541\) | 8.43337 | 0.362579 | 0.181290 | − | 0.983430i | \(-0.441973\pi\) | ||||
0.181290 | + | 0.983430i | \(0.441973\pi\) | |||||||
\(542\) | 19.7054 | − | 19.7054i | 0.846419 | − | 0.846419i | ||||
\(543\) | −1.97584 | + | 2.30730i | −0.0847912 | + | 0.0990157i | ||||
\(544\) | − | 0.307349i | − | 0.0131775i | ||||||
\(545\) | 7.17971 | + | 0.620208i | 0.307545 | + | 0.0265668i | ||||
\(546\) | −0.698164 | − | 9.02157i | −0.0298787 | − | 0.386088i | ||||
\(547\) | −13.9532 | − | 13.9532i | −0.596597 | − | 0.596597i | 0.342808 | − | 0.939405i | \(-0.388622\pi\) |
−0.939405 | + | 0.342808i | \(0.888622\pi\) | |||||||
\(548\) | −6.71805 | − | 6.71805i | −0.286981 | − | 0.286981i | ||||
\(549\) | −2.57196 | − | 16.5177i | −0.109769 | − | 0.704959i | ||||
\(550\) | 8.54990 | + | 12.1537i | 0.364569 | + | 0.518235i | ||||
\(551\) | − | 7.83994i | − | 0.333993i | ||||||
\(552\) | −1.31559 | − | 1.12660i | −0.0559953 | − | 0.0479511i | ||||
\(553\) | 28.2839 | − | 28.2839i | 1.20275 | − | 1.20275i | ||||
\(554\) | −9.96921 | −0.423551 | ||||||||
\(555\) | −0.0701326 | + | 7.84883i | −0.00297696 | + | 0.333164i | ||||
\(556\) | −21.3303 | −0.904607 | ||||||||
\(557\) | −19.9924 | + | 19.9924i | −0.847106 | + | 0.847106i | −0.989771 | − | 0.142665i | \(-0.954433\pi\) |
0.142665 | + | 0.989771i | \(0.454433\pi\) | |||||||
\(558\) | 15.3462 | + | 11.2110i | 0.649657 | + | 0.474600i | ||||
\(559\) | − | 4.80252i | − | 0.203125i | ||||||
\(560\) | 4.74387 | − | 3.98945i | 0.200465 | − | 0.168585i | ||||
\(561\) | 1.57739 | − | 0.122071i | 0.0665974 | − | 0.00515386i | ||||
\(562\) | −11.1642 | − | 11.1642i | −0.470934 | − | 0.470934i | ||||
\(563\) | −31.0332 | − | 31.0332i | −1.30789 | − | 1.30789i | −0.922935 | − | 0.384957i | \(-0.874216\pi\) |
−0.384957 | − | 0.922935i | \(-0.625784\pi\) | |||||||
\(564\) | −0.487019 | + | 0.0376896i | −0.0205072 | + | 0.00158702i | ||||
\(565\) | 9.02716 | − | 7.59158i | 0.379776 | − | 0.319380i | ||||
\(566\) | 18.6737i | 0.784912i | ||||||||
\(567\) | −22.1694 | − | 11.4421i | −0.931027 | − | 0.480522i | ||||
\(568\) | 5.40925 | − | 5.40925i | 0.226967 | − | 0.226967i | ||||
\(569\) | −30.3632 | −1.27289 | −0.636447 | − | 0.771321i | \(-0.719596\pi\) | ||||
−0.636447 | + | 0.771321i | \(0.719596\pi\) | |||||||
\(570\) | 0.222376 | − | 24.8870i | 0.00931431 | − | 1.04240i | ||||
\(571\) | −13.6437 | −0.570973 | −0.285486 | − | 0.958383i | \(-0.592155\pi\) | ||||
−0.285486 | + | 0.958383i | \(0.592155\pi\) | |||||||
\(572\) | −3.96052 | + | 3.96052i | −0.165598 | + | 0.165598i | ||||
\(573\) | −35.4269 | − | 30.3375i | −1.47998 | − | 1.26737i | ||||
\(574\) | 8.44292i | 0.352401i | ||||||||
\(575\) | 2.87686 | + | 4.08946i | 0.119973 | + | 0.170542i | ||||
\(576\) | 2.96428 | − | 0.461565i | 0.123512 | − | 0.0192319i | ||||
\(577\) | 29.2454 | + | 29.2454i | 1.21750 | + | 1.21750i | 0.968503 | + | 0.249001i | \(0.0801021\pi\) |
0.249001 | + | 0.968503i | \(0.419898\pi\) | |||||||
\(578\) | −11.9540 | − | 11.9540i | −0.497222 | − | 0.497222i | ||||
\(579\) | 2.06605 | + | 26.6972i | 0.0858620 | + | 1.10950i | ||||
\(580\) | −2.71793 | − | 0.234784i | −0.112856 | − | 0.00974888i | ||||
\(581\) | − | 47.7228i | − | 1.97988i | ||||||
\(582\) | −14.3193 | + | 16.7215i | −0.593553 | + | 0.693127i | ||||
\(583\) | −27.2791 | + | 27.2791i | −1.12979 | + | 1.12979i | ||||
\(584\) | −5.73758 | −0.237423 | ||||||||
\(585\) | −8.30862 | + | 9.52880i | −0.343519 | + | 0.393968i | ||||
\(586\) | −9.81215 | −0.405336 | ||||||||
\(587\) | −30.7364 | + | 30.7364i | −1.26863 | + | 1.26863i | −0.321830 | + | 0.946798i | \(0.604298\pi\) |
−0.946798 | + | 0.321830i | \(0.895702\pi\) | |||||||
\(588\) | 0.770587 | − | 0.899860i | 0.0317785 | − | 0.0371096i | ||||
\(589\) | 40.7093i | 1.67740i | ||||||||
\(590\) | −13.5716 | − | 16.1380i | −0.558734 | − | 0.664392i | ||||
\(591\) | 0.374079 | + | 4.83380i | 0.0153876 | + | 0.198836i | ||||
\(592\) | −1.43305 | − | 1.43305i | −0.0588980 | − | 0.0588980i | ||||
\(593\) | 24.9741 | + | 24.9741i | 1.02557 | + | 1.02557i | 0.999665 | + | 0.0259005i | \(0.00824531\pi\) |
0.0259005 | + | 0.999665i | \(0.491755\pi\) | |||||||
\(594\) | 3.54620 | + | 15.0300i | 0.145502 | + | 0.616690i | ||||
\(595\) | −0.163956 | + | 1.89800i | −0.00672154 | + | 0.0778105i | ||||
\(596\) | − | 2.04707i | − | 0.0838514i | ||||||
\(597\) | −20.9037 | − | 17.9007i | −0.855531 | − | 0.732627i | ||||
\(598\) | −1.33263 | + | 1.33263i | −0.0544953 | + | 0.0544953i | ||||
\(599\) | 35.3695 | 1.44516 | 0.722579 | − | 0.691288i | \(-0.242956\pi\) | ||||
0.722579 | + | 0.691288i | \(0.242956\pi\) | |||||||
\(600\) | −8.62112 | − | 0.822390i | −0.351956 | − | 0.0335739i | ||||
\(601\) | 36.5041 | 1.48903 | 0.744517 | − | 0.667604i | \(-0.232680\pi\) | ||||
0.744517 | + | 0.667604i | \(0.232680\pi\) | |||||||
\(602\) | 4.99486 | − | 4.99486i | 0.203575 | − | 0.203575i | ||||
\(603\) | 23.5521 | − | 32.2393i | 0.959114 | − | 1.31288i | ||||
\(604\) | 2.64015i | 0.107426i | ||||||||
\(605\) | −0.417117 | + | 4.82867i | −0.0169582 | + | 0.196313i | ||||
\(606\) | 5.19752 | − | 0.402227i | 0.211135 | − | 0.0163394i | ||||
\(607\) | 22.0917 | + | 22.0917i | 0.896673 | + | 0.896673i | 0.995140 | − | 0.0984669i | \(-0.0313939\pi\) |
−0.0984669 | + | 0.995140i | \(0.531394\pi\) | |||||||
\(608\) | 4.54391 | + | 4.54391i | 0.184280 | + | 0.184280i | ||||
\(609\) | −5.84017 | + | 0.451961i | −0.236656 | + | 0.0183144i | ||||
\(610\) | −8.01956 | − | 9.53607i | −0.324702 | − | 0.386104i | ||||
\(611\) | 0.531504i | 0.0215024i | ||||||||
\(612\) | −0.543912 | + | 0.744535i | −0.0219863 | + | 0.0300960i | ||||
\(613\) | 16.7926 | − | 16.7926i | 0.678246 | − | 0.678246i | −0.281357 | − | 0.959603i | \(-0.590784\pi\) |
0.959603 | + | 0.281357i | \(0.0907845\pi\) | |||||||
\(614\) | 11.8644 | 0.478808 | ||||||||
\(615\) | 8.41542 | − | 8.26636i | 0.339343 | − | 0.333332i | ||||
\(616\) | −8.23826 | −0.331929 | ||||||||
\(617\) | 26.9980 | − | 26.9980i | 1.08690 | − | 1.08690i | 0.0910505 | − | 0.995846i | \(-0.470978\pi\) |
0.995846 | − | 0.0910505i | \(-0.0290225\pi\) | |||||||
\(618\) | −3.38301 | − | 2.89701i | −0.136085 | − | 0.116535i | ||||
\(619\) | 31.5835i | 1.26945i | 0.772739 | + | 0.634724i | \(0.218886\pi\) | ||||
−0.772739 | + | 0.634724i | \(0.781114\pi\) | |||||||
\(620\) | 14.1130 | + | 1.21913i | 0.566791 | + | 0.0489614i | ||||
\(621\) | 1.19322 | + | 5.05729i | 0.0478823 | + | 0.202942i | ||||
\(622\) | −16.0579 | − | 16.0579i | −0.643865 | − | 0.643865i | ||||
\(623\) | −4.81485 | − | 4.81485i | −0.192903 | − | 0.192903i | ||||
\(624\) | −0.251863 | − | 3.25453i | −0.0100826 | − | 0.130286i | ||||
\(625\) | 23.5296 | + | 8.44734i | 0.941184 | + | 0.337894i | ||||
\(626\) | − | 26.9989i | − | 1.07909i | ||||||
\(627\) | −21.5157 | + | 25.1251i | −0.859254 | + | 1.00340i | ||||
\(628\) | 0.750993 | − | 0.750993i | 0.0299679 | − | 0.0299679i | ||||
\(629\) | 0.622887 | 0.0248361 | ||||||||
\(630\) | −18.5518 | + | 1.26905i | −0.739121 | + | 0.0505600i | ||||
\(631\) | −27.4404 | −1.09239 | −0.546193 | − | 0.837659i | \(-0.683924\pi\) | ||||
−0.546193 | + | 0.837659i | \(0.683924\pi\) | |||||||
\(632\) | 10.2034 | − | 10.2034i | 0.405870 | − | 0.405870i | ||||
\(633\) | 12.8327 | − | 14.9855i | 0.510055 | − | 0.595622i | ||||
\(634\) | − | 0.0389545i | − | 0.00154708i | ||||||
\(635\) | 24.0816 | − | 20.2519i | 0.955650 | − | 0.803673i | ||||
\(636\) | −1.73477 | − | 22.4165i | −0.0687883 | − | 0.888872i | ||||
\(637\) | −0.911514 | − | 0.911514i | −0.0361155 | − | 0.0361155i | ||||
\(638\) | 2.56386 | + | 2.56386i | 0.101504 | + | 0.101504i | ||||
\(639\) | −22.6762 | + | 3.53090i | −0.897058 | + | 0.139680i | ||||
\(640\) | 1.71135 | − | 1.43919i | 0.0676470 | − | 0.0568892i | ||||
\(641\) | − | 1.78898i | − | 0.0706606i | −0.999376 | − | 0.0353303i | \(-0.988752\pi\) | ||
0.999376 | − | 0.0353303i | \(-0.0112483\pi\) | |||||||
\(642\) | −18.8941 | − | 16.1798i | −0.745691 | − | 0.638566i | ||||
\(643\) | 24.6839 | − | 24.6839i | 0.973437 | − | 0.973437i | −0.0262188 | − | 0.999656i | \(-0.508347\pi\) |
0.999656 | + | 0.0262188i | \(0.00834667\pi\) | |||||||
\(644\) | −2.77200 | −0.109232 | ||||||||
\(645\) | −9.86899 | − | 0.0881836i | −0.388591 | − | 0.00347222i | ||||
\(646\) | −1.97505 | −0.0777072 | ||||||||
\(647\) | 2.36727 | − | 2.36727i | 0.0930671 | − | 0.0930671i | −0.659040 | − | 0.752108i | \(-0.729037\pi\) |
0.752108 | + | 0.659040i | \(0.229037\pi\) | |||||||
\(648\) | −7.99761 | − | 4.12773i | −0.314176 | − | 0.162153i | ||||
\(649\) | 28.0255i | 1.10010i | ||||||||
\(650\) | −1.61594 | + | 9.28353i | −0.0633826 | + | 0.364130i | ||||
\(651\) | 30.3254 | − | 2.34683i | 1.18854 | − | 0.0919794i | ||||
\(652\) | −6.60415 | − | 6.60415i | −0.258639 | − | 0.258639i | ||||
\(653\) | 2.10868 | + | 2.10868i | 0.0825189 | + | 0.0825189i | 0.747161 | − | 0.664643i | \(-0.231416\pi\) |
−0.664643 | + | 0.747161i | \(0.731416\pi\) | |||||||
\(654\) | 5.56545 | − | 0.430701i | 0.217626 | − | 0.0168417i | ||||
\(655\) | 9.23911 | + | 0.798106i | 0.361002 | + | 0.0311846i | ||||
\(656\) | 3.04579i | 0.118918i | ||||||||
\(657\) | 13.8989 | + | 10.1537i | 0.542249 | + | 0.396134i | ||||
\(658\) | −0.552791 | + | 0.552791i | −0.0215500 | + | 0.0215500i | ||||
\(659\) | 40.8784 | 1.59240 | 0.796199 | − | 0.605035i | \(-0.206841\pi\) | ||||
0.796199 | + | 0.605035i | \(0.206841\pi\) | |||||||
\(660\) | 8.06598 | + | 8.21143i | 0.313968 | + | 0.319629i | ||||
\(661\) | 17.8125 | 0.692828 | 0.346414 | − | 0.938082i | \(-0.387399\pi\) | ||||
0.346414 | + | 0.938082i | \(0.387399\pi\) | |||||||
\(662\) | −0.743610 | + | 0.743610i | −0.0289012 | + | 0.0289012i | ||||
\(663\) | 0.762041 | + | 0.652567i | 0.0295952 | + | 0.0253436i | ||||
\(664\) | − | 17.2160i | − | 0.668111i | ||||||
\(665\) | −25.6365 | − | 30.4844i | −0.994140 | − | 1.18213i | ||||
\(666\) | 0.935427 | + | 6.00753i | 0.0362471 | + | 0.232787i | ||||
\(667\) | 0.862686 | + | 0.862686i | 0.0334033 | + | 0.0334033i | ||||
\(668\) | −5.25056 | − | 5.25056i | −0.203150 | − | 0.203150i | ||||
\(669\) | 1.97842 | + | 25.5648i | 0.0764900 | + | 0.988392i | ||||
\(670\) | 2.56114 | − | 29.6485i | 0.0989455 | − | 1.14542i | ||||
\(671\) | 16.5605i | 0.639310i | ||||||||
\(672\) | 3.12292 | − | 3.64682i | 0.120469 | − | 0.140679i | ||||
\(673\) | 13.7420 | − | 13.7420i | 0.529714 | − | 0.529714i | −0.390773 | − | 0.920487i | \(-0.627792\pi\) |
0.920487 | + | 0.390773i | \(0.127792\pi\) | |||||||
\(674\) | 14.1764 | 0.546054 | ||||||||
\(675\) | 19.4288 | + | 17.2489i | 0.747813 | + | 0.663909i | ||||
\(676\) | 9.44819 | 0.363392 | ||||||||
\(677\) | 1.91031 | − | 1.91031i | 0.0734192 | − | 0.0734192i | −0.669444 | − | 0.742863i | \(-0.733467\pi\) |
0.742863 | + | 0.669444i | \(0.233467\pi\) | |||||||
\(678\) | 5.94265 | − | 6.93959i | 0.228226 | − | 0.266513i | ||||
\(679\) | 35.2328i | 1.35211i | ||||||||
\(680\) | −0.0591471 | + | 0.684704i | −0.00226819 | + | 0.0262572i | ||||
\(681\) | 3.05537 | + | 39.4810i | 0.117082 | + | 1.51292i | ||||
\(682\) | −13.3130 | − | 13.3130i | −0.509780 | − | 0.509780i | ||||
\(683\) | −33.5563 | − | 33.5563i | −1.28400 | − | 1.28400i | −0.938374 | − | 0.345623i | \(-0.887668\pi\) |
−0.345623 | − | 0.938374i | \(-0.612332\pi\) | |||||||
\(684\) | −2.96605 | − | 19.0487i | −0.113410 | − | 0.728344i | ||||
\(685\) | 13.6735 | + | 16.2591i | 0.522436 | + | 0.621229i | ||||
\(686\) | 17.5080i | 0.668458i | ||||||||
\(687\) | −21.0886 | − | 18.0590i | −0.804581 | − | 0.688996i | ||||
\(688\) | 1.80190 | − | 1.80190i | 0.0686966 | − | 0.0686966i | ||||
\(689\) | −24.4641 | −0.932006 | ||||||||
\(690\) | 2.71403 | + | 2.76297i | 0.103322 | + | 0.105185i | ||||
\(691\) | −27.4000 | −1.04234 | −0.521172 | − | 0.853451i | \(-0.674505\pi\) | ||||
−0.521172 | + | 0.853451i | \(0.674505\pi\) | |||||||
\(692\) | −16.1787 | + | 16.1787i | −0.615020 | + | 0.615020i | ||||
\(693\) | 19.9567 | + | 14.5791i | 0.758092 | + | 0.553816i | ||||
\(694\) | 25.8642i | 0.981790i | ||||||||
\(695\) | 47.5191 | + | 4.10486i | 1.80250 | + | 0.155706i | ||||
\(696\) | −2.10684 | + | 0.163045i | −0.0798596 | + | 0.00618020i | ||||
\(697\) | −0.661937 | − | 0.661937i | −0.0250727 | − | 0.0250727i | ||||
\(698\) | 20.2968 | + | 20.2968i | 0.768247 | + | 0.768247i | ||||
\(699\) | −10.1266 | + | 0.783682i | −0.383024 | + | 0.0296416i | ||||
\(700\) | −11.3360 | + | 7.97466i | −0.428460 | + | 0.301414i | ||||
\(701\) | − | 17.7628i | − | 0.670893i | −0.942059 | − | 0.335446i | \(-0.891113\pi\) | ||
0.942059 | − | 0.335446i | \(-0.108887\pi\) | |||||||
\(702\) | −5.14938 | + | 8.32963i | −0.194351 | + | 0.314381i | ||||
\(703\) | −9.20888 | + | 9.20888i | −0.347319 | + | 0.347319i | ||||
\(704\) | −2.97195 | −0.112010 | ||||||||
\(705\) | 1.09222 | + | 0.00975945i | 0.0411354 | + | 0.000367562i | ||||
\(706\) | −14.7901 | −0.556631 | ||||||||
\(707\) | 5.89944 | − | 5.89944i | 0.221871 | − | 0.221871i | ||||
\(708\) | −12.4060 | − | 10.6238i | −0.466247 | − | 0.399267i | ||||
\(709\) | 25.1030i | 0.942763i | 0.881929 | + | 0.471382i | \(0.156245\pi\) | ||||
−0.881929 | + | 0.471382i | \(0.843755\pi\) | |||||||
\(710\) | −13.0915 | + | 11.0096i | −0.491316 | + | 0.413183i | ||||
\(711\) | −42.7740 | + | 6.66031i | −1.60415 | + | 0.249781i | ||||
\(712\) | −1.73696 | − | 1.73696i | −0.0650953 | − | 0.0650953i | ||||
\(713\) | −4.47954 | − | 4.47954i | −0.167760 | − | 0.167760i | ||||
\(714\) | 0.113858 | + | 1.47126i | 0.00426104 | + | 0.0550606i | ||||
\(715\) | 9.58530 | − | 8.06095i | 0.358470 | − | 0.301463i | ||||
\(716\) | − | 12.6087i | − | 0.471209i | ||||||
\(717\) | 33.5338 | − | 39.1594i | 1.25234 | − | 1.46244i | ||||
\(718\) | 7.38357 | − | 7.38357i | 0.275552 | − | 0.275552i | ||||
\(719\) | 7.11858 | 0.265478 | 0.132739 | − | 0.991151i | \(-0.457623\pi\) | ||||
0.132739 | + | 0.991151i | \(0.457623\pi\) | |||||||
\(720\) | −6.69256 | + | 0.457809i | −0.249417 | + | 0.0170615i | ||||
\(721\) | −7.12813 | −0.265466 | ||||||||
\(722\) | 15.7644 | − | 15.7644i | 0.586692 | − | 0.586692i | ||||
\(723\) | −20.4537 | + | 23.8850i | −0.760681 | + | 0.888292i | ||||
\(724\) | 1.75381i | 0.0651799i | ||||||||
\(725\) | 6.00975 | + | 1.04609i | 0.223196 | + | 0.0388508i | ||||
\(726\) | 0.289665 | + | 3.74301i | 0.0107505 | + | 0.138916i | ||||
\(727\) | −21.0233 | − | 21.0233i | −0.779711 | − | 0.779711i | 0.200070 | − | 0.979782i | \(-0.435883\pi\) |
−0.979782 | + | 0.200070i | \(0.935883\pi\) | |||||||
\(728\) | −3.69405 | − | 3.69405i | −0.136911 | − | 0.136911i | ||||
\(729\) | 12.0689 | + | 24.1524i | 0.446998 | + | 0.894535i | ||||
\(730\) | 12.7820 | + | 1.10415i | 0.473083 | + | 0.0408666i | ||||
\(731\) | 0.783208i | 0.0289680i | ||||||||
\(732\) | −7.33081 | − | 6.27767i | −0.270955 | − | 0.232030i | ||||
\(733\) | −8.70985 | + | 8.70985i | −0.321706 | + | 0.321706i | −0.849421 | − | 0.527715i | \(-0.823049\pi\) |
0.527715 | + | 0.849421i | \(0.323049\pi\) | |||||||
\(734\) | −16.0003 | −0.590580 | ||||||||
\(735\) | −1.88986 | + | 1.85639i | −0.0697086 | + | 0.0684739i | ||||
\(736\) | −1.00000 | −0.0368605 | ||||||||
\(737\) | −27.9679 | + | 27.9679i | −1.03021 | + | 1.03021i | ||||
\(738\) | 5.39009 | − | 7.37823i | 0.198412 | − | 0.271596i | ||||
\(739\) | − | 13.3134i | − | 0.489743i | −0.969556 | − | 0.244871i | \(-0.921254\pi\) | ||
0.969556 | − | 0.244871i | \(-0.0787458\pi\) | |||||||
\(740\) | 2.91673 | + | 3.46829i | 0.107221 | + | 0.127497i | ||||
\(741\) | −20.9138 | + | 1.61849i | −0.768289 | + | 0.0594566i | ||||
\(742\) | −25.4438 | − | 25.4438i | −0.934072 | − | 0.934072i | ||||
\(743\) | −31.8345 | − | 31.8345i | −1.16789 | − | 1.16789i | −0.982702 | − | 0.185193i | \(-0.940709\pi\) |
−0.185193 | − | 0.982702i | \(-0.559291\pi\) | |||||||
\(744\) | 10.9399 | − | 0.846618i | 0.401075 | − | 0.0310385i | ||||
\(745\) | −0.393944 | + | 4.56041i | −0.0144330 | + | 0.167081i | ||||
\(746\) | − | 28.6369i | − | 1.04847i | ||||||
\(747\) | −30.4669 | + | 41.7047i | −1.11473 | + | 1.52590i | ||||
\(748\) | 0.645891 | − | 0.645891i | 0.0236161 | − | 0.0236161i | ||||
\(749\) | −39.8106 | −1.45465 | ||||||||
\(750\) | 19.0476 | + | 3.49117i | 0.695521 | + | 0.127479i | ||||
\(751\) | 1.87068 | 0.0682622 | 0.0341311 | − | 0.999417i | \(-0.489134\pi\) | ||||
0.0341311 | + | 0.999417i | \(0.489134\pi\) | |||||||
\(752\) | −0.199419 | + | 0.199419i | −0.00727207 | + | 0.00727207i | ||||
\(753\) | 25.1559 | + | 21.5420i | 0.916732 | + | 0.785035i | ||||
\(754\) | 2.29928i | 0.0837349i | ||||||||
\(755\) | 0.508077 | − | 5.88165i | 0.0184908 | − | 0.214055i | ||||
\(756\) | −14.0188 | + | 3.30761i | −0.509860 | + | 0.120297i | ||||
\(757\) | −4.50446 | − | 4.50446i | −0.163717 | − | 0.163717i | 0.620494 | − | 0.784211i | \(-0.286932\pi\) |
−0.784211 | + | 0.620494i | \(0.786932\pi\) | |||||||
\(758\) | 22.2485 | + | 22.2485i | 0.808102 | + | 0.808102i | ||||
\(759\) | −0.397175 | − | 5.13223i | −0.0144165 | − | 0.186288i | ||||
\(760\) | −9.24836 | − | 10.9972i | −0.335473 | − | 0.398912i | ||||
\(761\) | − | 29.5482i | − | 1.07112i | −0.844497 | − | 0.535561i | \(-0.820100\pi\) | ||
0.844497 | − | 0.535561i | \(-0.179900\pi\) | |||||||
\(762\) | 15.8531 | − | 18.5126i | 0.574298 | − | 0.670642i | ||||
\(763\) | 6.31706 | − | 6.31706i | 0.228693 | − | 0.228693i | ||||
\(764\) | −26.9285 | −0.974238 | ||||||||
\(765\) | 1.35499 | − | 1.55398i | 0.0489898 | − | 0.0561843i | ||||
\(766\) | 7.21387 | 0.260648 | ||||||||
\(767\) | −12.5667 | + | 12.5667i | −0.453757 | + | 0.453757i | ||||
\(768\) | 1.12660 | − | 1.31559i | 0.0406525 | − | 0.0474723i | ||||
\(769\) | 14.7558i | 0.532107i | 0.963958 | + | 0.266054i | \(0.0857199\pi\) | ||||
−0.963958 | + | 0.266054i | \(0.914280\pi\) | |||||||
\(770\) | 18.3530 | + | 1.58539i | 0.661395 | + | 0.0571336i | ||||
\(771\) | −3.21454 | − | 41.5378i | −0.115769 | − | 1.49595i | ||||
\(772\) | 10.9317 | + | 10.9317i | 0.393439 | + | 0.393439i | ||||
\(773\) | 9.22983 | + | 9.22983i | 0.331974 | + | 0.331974i | 0.853336 | − | 0.521362i | \(-0.174576\pi\) |
−0.521362 | + | 0.853336i | \(0.674576\pi\) | |||||||
\(774\) | −7.55377 | + | 1.17619i | −0.271515 | + | 0.0422773i | ||||
\(775\) | −31.2059 | − | 5.43188i | −1.12095 | − | 0.195119i | ||||
\(776\) | 12.7102i | 0.456270i | ||||||||
\(777\) | 7.39080 | + | 6.32905i | 0.265144 | + | 0.227053i | ||||
\(778\) | −12.9858 |